I love my Dremel...no battery on mine, it's an older electric one.
Nick, you said you needed to do some cutting work. Buy a couple of the fiberglass reinforced cutting wheels. They are fantastic. I had a (real/full size) Yard Limit sign where the bolts had frozen to the post with rust and 2 of those wheels cut through 4 heavily rusted bolts in around 2 minutes time. Always wear goggles, too.
Tom